Jordan algebraic interpretation of maximal parabolic subalgebras: exceptional Lie algebras

@article{Dobrev2019JordanAI,
  title={Jordan algebraic interpretation of maximal parabolic subalgebras: exceptional Lie algebras},
  author={Vladimir Dobrev and Alessio Marrani},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2019},
  volume={53}
}
  • V. DobrevA. Marrani
  • Published 1 May 2019
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
With this paper we start a programme aiming at connecting two vast scientific areas: Jordan algebras and representation theory. Within representation theory, we focus on non-compact, real forms of semisimple Lie algebras and groups as well as on the modern theory of their induced representations, in which a central role is played by the parabolic subalgebras and subgroups. The aim of the present paper and its sequels is to present a Jordan algebraic interpretations of maximal parabolic… 
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